The relevant project data are given as follows.

Activity	Predecessor(s)	Normal time (weeks)	Crash time	Normal cost	Crash cost	Possible number of weeks to crash	Cost/week to expedite
A	--	7	6	$7,000	$8,000
B	A	2	1	5,000	7,000
C	A	4	3	9,000	10,200
D	B,C	5	4	3,000	4,500
E	D	2	1	2,000	3,000
F	D	4	2	4,000	7,000
G	E,F	5	4	5,000	8,000

a) Draw the AOA (Activity-On-Arc) diagram as shown in Chapter 13's Excel Worksheets.

b) Formulate the problem of finding project completion time as a LP problem. [You would only need the first 3 columns of the table and the diagram from a) to do the job!]

c) Reformulate the problem when crashing the project completion time of 3 weeks is required. That is, reformulate the problem when the project completion time is required to be shorted by 3 weeks. Obviously, crashing is based on shortening the project completion time by 3 weeks with the minimal additional cost. In order to formulate the problem, you need to fill in the blank columns of the table.

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